A new algebra of periodic generalized functions

DOI10.4171/ZAA/688zbMath0842.46021MaRDI QIDQ1909643

Vincent S. Valmorin

Publication date: 17 March 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Fourier coefficientsColombeau algebrasperiodic distributions\(2\pi\)-periodic generalized functionscomplex differential algebradifferential problems with strong nonlinearities

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fourier series and coefficients in several variables (42B05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized solutions to partial differential equations (35D99)

Related Items (3)

Generalized hyperfunctions on the circle ⋮ Periodic hyperfunctions and Fourier series ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory

Cites Work

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